Academic Journal
Perturbation Effects for Anisotropic Non-Autonomous Kirchhoff–Schrödinger Equations With Exponential Growth.
| Τίτλος: | Perturbation Effects for Anisotropic Non-Autonomous Kirchhoff–Schrödinger Equations With Exponential Growth. |
|---|---|
| Συγγραφείς: | Ahmad, Bashir, Nyamoradi, Nemat, Van Thin, Nguyen |
| Πηγή: | Asymptotic Analysis; Sep2026, Vol. 149 Issue 3, p1151-1181, 31p |
| Θεματικοί όροι: | Variational approach (Mathematics), Fractional differential equations, Nonlinear theories, Autonomous differential equations, Partial differential equations, Laplacian operator |
| Περίληψη: | In this article, we study the existence of solutions to a non-autonomous anisotropic fractional equation M ([ v ] s , p p) (− Δ) N s s v + ∑ i = 1 m M i ([ v ] s , p i p i ) (− Δ) p i s v + V (ε x) (| v | N s − 2 v + ∑ i = 1 m | v | p i − 2 v) = Q (ε x) f (v) in R N , where ε is a positive parameter, m ≥ 1 , N = p s , s ∈ (0 , 1) and 2 ≤ (N / s) = p < p 1 < ⋯ < p m. Further, the nonlinear function f exhibits critical as well as supercritical exponential growth, while absorption potential V and reaction potential Q are bounded continuous functions, M (t) = a + b t , a > 0 , b > 0 and M i (t) = a i + b i t , a i > 0 , b i > 0 , i = 1 , ... , m are Kirchhoff functions. By applying variational methods, we prove the existence of a nontrivial nonnegative solution to the given equation when ε is small enough. [ABSTRACT FROM AUTHOR] |
| Copyright of Asymptotic Analysis is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Βάση Δεδομένων: | Complementary Index |
| FullText | Text: Availability: 0 |
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| Header | DbId: edb DbLabel: Complementary Index An: 196383617 RelevancyScore: 1082 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 1082.42749023438 |
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| Items | – Name: Title Label: Title Group: Ti Data: Perturbation Effects for Anisotropic Non-Autonomous Kirchhoff–Schrödinger Equations With Exponential Growth. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ahmad%2C+Bashir%22">Ahmad, Bashir</searchLink><br /><searchLink fieldCode="AR" term="%22Nyamoradi%2C+Nemat%22">Nyamoradi, Nemat</searchLink><br /><searchLink fieldCode="AR" term="%22Van+Thin%2C+Nguyen%22">Van Thin, Nguyen</searchLink> – Name: TitleSource Label: Source Group: Src Data: Asymptotic Analysis; Sep2026, Vol. 149 Issue 3, p1151-1181, 31p – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Variational+approach+%28Mathematics%29%22">Variational approach (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+differential+equations%22">Fractional differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+theories%22">Nonlinear theories</searchLink><br /><searchLink fieldCode="DE" term="%22Autonomous+differential+equations%22">Autonomous differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Partial+differential+equations%22">Partial differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Laplacian+operator%22">Laplacian operator</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this article, we study the existence of solutions to a non-autonomous anisotropic fractional equation M ([ v ] s , p p) (− Δ) N s s v + ∑ i = 1 m M i ([ v ] s , p i p i ) (− Δ) p i s v + V (ε x) (| v | N s − 2 v + ∑ i = 1 m | v | p i − 2 v) = Q (ε x) f (v) in R N , where ε is a positive parameter, m ≥ 1 , N = p s , s ∈ (0 , 1) and 2 ≤ (N / s) = p < p 1 < ⋯ < p m. Further, the nonlinear function f exhibits critical as well as supercritical exponential growth, while absorption potential V and reaction potential Q are bounded continuous functions, M (t) = a + b t , a > 0 , b > 0 and M i (t) = a i + b i t , a i > 0 , b i > 0 , i = 1 , ... , m are Kirchhoff functions. By applying variational methods, we prove the existence of a nontrivial nonnegative solution to the given equation when ε is small enough. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of Asymptotic Analysis is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1177/09217134251392305 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 31 StartPage: 1151 Subjects: – SubjectFull: Variational approach (Mathematics) Type: general – SubjectFull: Fractional differential equations Type: general – SubjectFull: Nonlinear theories Type: general – SubjectFull: Autonomous differential equations Type: general – SubjectFull: Partial differential equations Type: general – SubjectFull: Laplacian operator Type: general Titles: – TitleFull: Perturbation Effects for Anisotropic Non-Autonomous Kirchhoff–Schrödinger Equations With Exponential Growth. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ahmad, Bashir – PersonEntity: Name: NameFull: Nyamoradi, Nemat – PersonEntity: Name: NameFull: Van Thin, Nguyen IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 09217134 Numbering: – Type: volume Value: 149 – Type: issue Value: 3 Titles: – TitleFull: Asymptotic Analysis Type: main |
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